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A291833 Records transform of A252665. 2
1, 2, 3, 4, 5, 7, 9, 12, 16, 18, 21, 28, 30, 37, 43, 51, 53, 59, 66, 92, 103, 150, 188, 189, 235, 239, 312, 351, 396, 400, 493, 593, 628, 751, 947, 954, 1283, 1433, 1632, 2063, 2074, 2088, 2446, 2629, 3143, 3582, 3952, 4008, 4121, 4602, 5803, 6046, 6323, 6899 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

See a-file "Records and first positions of records in A252665" in that sequence for more information. - Michael De Vlieger, Sep 03 2017

LINKS

Michael De Vlieger, Table of n, a(n) for n = 1..76

EXAMPLE

A252665(n) for 1 <= n <= 24 is {1, 1, 1, 2, 1, 2, 1, 3, 2, 2, 1, 4, 1, 2, 2, 5, 1, 4, 1, 4, 2, 2, 1, 7}; the records are {1, 2, 3, 4, 5, 7}, thus these are the first 6 terms of this sequence.

MATHEMATICA

f[n_, i_, t_] := b[n, i, t] = If[n == 1, 1, If[t == 1, Boole[n <= i],

Sum[f[n/d, d, t - 1], {d, Select[Divisors@ n, # <= i &]}]]]; Union@ FoldList[Max, Array[f[#, #, 5] &, 10^5]] (* Michael De Vlieger, Sep 03 2017, after Alois P. Heinz at A218320 *)

CROSSREFS

Cf. A033833, A252665, A291834.

Sequence in context: A096814 A039861 A039877 * A272691 A192433 A189083

Adjacent sequences:  A291830 A291831 A291832 * A291834 A291835 A291836

KEYWORD

nonn

AUTHOR

Michael De Vlieger, Sep 03 2017

STATUS

approved

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Last modified October 22 19:03 EDT 2020. Contains 337953 sequences. (Running on oeis4.)